Bolsa de Gestão de Ciência e Tecnologia FCT: Apoio ao Conselho Científico das Ciências da Vida e da Saúde da Fundação para a Ciência e Tecnologia [SFRH/BGCT/52185/2013]
Publication . Mateus, Joaquim; Rebelo, Paulo; Rosa, Silvério; Silva, César M.; Torres, Delfim F. M.
We study an optimal control problem for a non-autonomous SEIRS
model with incidence given by a general function of the infective, the susceptible
and the total population, and with vaccination and treatment as control
variables. We prove existence and uniqueness results for our problem and, for
the case of mass-action incidence, we present some simulation results designed
to compare an autonomous and corresponding periodic model, as well as the
controlled versus uncontrolled models.